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2101435020 = 2232523507593
BaseRepresentation
bin111110101000001…
…0101101010001100
312102110012221220200
41331100111222030
513300431410040
6544305013500
7103034621466
oct17520255214
95373187820
102101435020
11989229263
124a7924290
132764a1099
1415d141136
15c474c630
hex7d415a8c

2101435020 has 72 divisors (see below), whose sum is σ = 6651511776. Its totient is φ = 536017152.

The previous prime is 2101435019. The next prime is 2101435057. The reversal of 2101435020 is 205341012.

2101435020 is a `hidden beast` number, since 21 + 0 + 143 + 502 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2101434984 and 2101435002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249657 + ... + 257936.

It is an arithmetic number, because the mean of its divisors is an integer number (92382108).

Almost surely, 22101435020 is an apocalyptic number.

2101435020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101435020 is an abundant number, since it is smaller than the sum of its proper divisors (4550076756).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2101435020 is a wasteful number, since it uses less digits than its factorization.

2101435020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507631 (or 507626 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2101435020 is about 45841.4116274794. The cubic root of 2101435020 is about 1280.8707901127.

Adding to 2101435020 its reverse (205341012), we get a palindrome (2306776032).

The spelling of 2101435020 in words is "two billion, one hundred one million, four hundred thirty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 4140 507593 1015186 1522779 2030372 2537965 3045558 4568337 5075930 6091116 7613895 9136674 10151860 11674639 15227790 18273348 22841685 23349278 30455580 35023917 45683370 46698556 58373195 70047834 91366740 105071751 116746390 140095668 175119585 210143502 233492780 350239170 420287004 525358755 700478340 1050717510 2101435020